Question

Simplify 10square(10+10 to the power -2)

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Answer 1

$\large\underline{\bf{Solution}}$

$\large \red{\sf{ {10}^{2}(10 + 10) ^{ - 2} }}$

$\large\pink{\sf{ {10}^{2} \times {20}^{ - 2} }}$

$\large\green{\bf{ \frac{ {10}^{2} }{ {20}^{2} } }}$

$\large\blue{\bf{we \: can \: use \: laws \: of \: exponents}}$

$\large\blue{\bf{to \: find \: the \: value.}}$

$\large\green{\bf{( \frac{10}{20}) ^{2} }}$

$\large{\bf{ (\frac{1}{2})^{2} }}$

$\frac{1}{4}$

Answer 2

Answer:

Step-by-step explanation:

Given that,

10² ( 10 + 10^-2) (∵ " ^ " this symbol means " to the power of " )

=( 10² × 10 ) + ( 10² × 10^-2 ) ( ∵ a ( b + c ) = a × b + a × c )

= ( 10 ^2 + 1 ) + ( 10² × 1/ 10² ) (∵Bases are equal, then powers should be add. a^- m = 1/a ^m )

= ( 10³ ) + ( 1 ) ( ∵ 10² × 1/ 10² = 1 )

= 1000 + 1

= 1001 is the answer.